A potential integral equation method for electromagnetic scattering by penetrable bodies

A general theory is presented to solve the electromagnetic scattering problem thanks to a potentials based method of moments (MoM). This theory is particularised to the case of a purely dielectric scatterer and it is applied to various problems. To circumvent the various problems inherent to the use of the fields as unknowns in integral equations methods, a formulation based on the electromagnetic potentials has been developed. It has been shown that the best potential formulation uses the four electric and magnetic potentials and that it leads to a system of coupled integral equations whose kernels are weakly singular. Moreover, the equations can be discretized in any curvilinear coordinates system by using Lagrange nodal basis functions which automatically satisfy the jump properties of the fields at media interfaces. Finally, the formulation has been validated on various near- and far-field calculations